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Popular >

simplify sqrt(12)^3

Solution

simplify

12^{3}

Solution

243

+1

Decimal Notation

41.56921 \dots

Solution steps

(12)^{3}

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

(12)^{2 + 1} = (12)^{2} 12

= (12)^{2} 12

Apply exponent rule:

(12)^{2} = 12

= 1212

Prime factorization of

12 : 2^{2} \cdot 3

= 12 2^{2} \cdot 3

Apply radical rule:

ab = a b, a \geq 0, b \geq 0

2^{2} \cdot 3 = 2^{2} 3

= 12 2^{2} 3

Apply radical rule:

a^{2} = a, a \geq 0

2^{2} = 2

= 12 \cdot 23

Multiply the numbers:

12 \cdot 2 = 24

= 243

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Frequently Asked Questions (FAQ)

What is sqrt(12)^3 ?
The solution to sqrt(12)^3 is 24sqrt(3)